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3823740 = 223357397
BaseRepresentation
bin1110100101100001111100
321012021012000
432211201330
51434324430
6213542300
744333634
oct16454174
97167160
103823740
112181918
121344990
13a3b58b
147176c4
15507e60
hex3a587c

3823740 has 96 divisors (see below), whose sum is σ = 12183360. Its totient is φ = 995328.

The previous prime is 3823739. The next prime is 3823747. The reversal of 3823740 is 473283.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3823747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39372 + ... + 39468.

It is an arithmetic number, because the mean of its divisors is an integer number (126910).

Almost surely, 23823740 is an apocalyptic number.

3823740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3823740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6091680).

3823740 is an abundant number, since it is smaller than the sum of its proper divisors (8359620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3823740 is a wasteful number, since it uses less digits than its factorization.

3823740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3823740 is about 1955.4385697331. The cubic root of 3823740 is about 156.3733660383.

The spelling of 3823740 in words is "three million, eight hundred twenty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 90 97 108 135 146 180 194 219 270 291 292 365 388 438 485 540 582 657 730 873 876 970 1095 1164 1314 1455 1460 1746 1940 1971 2190 2619 2628 2910 3285 3492 3942 4365 4380 5238 5820 6570 7081 7884 8730 9855 10476 13095 13140 14162 17460 19710 21243 26190 28324 35405 39420 42486 52380 63729 70810 84972 106215 127458 141620 191187 212430 254916 318645 382374 424860 637290 764748 955935 1274580 1911870 3823740